Proof for Problem 3
ans3givensnallpfans3picsmall

 
Statements
  
Reasons
1.
proof3m1
1.
Given
2.
BC = BC
2.
Reflexive property
3.
AB = CD
3.
congruentsmall segments have = lengths.
4.
 AB + BC = CD + BC
4.
 Addition property of equality
5.
 AB + BC = AC
CD + BC = BD
5.
 Segment addition postulate
or "Whole quantity = sum of its parts".
6.
 AC = BD
6.
 Substitution
7.
 proof3m7
7.
 congruentsmall segments have = lengths.
8.
 ∠A congruentsmall ∠D
8.
 If 2 sides of a Δ are congruentsmall, the ∠s oppostie them are congruentsmall.
9.
proof3math8
9.
SAS - if 2 sides and the included ∠ of one Δ are congruentsmall to the corres. parts of another Δ, the Δs are congruentsmall.

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